A variational formulation based contact algorithm for rigid boundaries in two-dimensional SPH applications
A variational formulation based contact algorithm for rigid boundaries in two-dimensional SPH applications
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DOI：
10.1007/s00466-003-0534-0
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发表时间：
2004-03
影响因子：
4.1
通讯作者：
S. Kulasegaram;J. Bonet;R. Lewis;M. Profit
中科院分区：
文献类型：
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作者：
S. Kulasegaram;J. Bonet;R. Lewis;M. Profit
平滑粒子流体动力学 (SPH) 是计算力学中使用的最有效的无网格技术之一。 SPH 近似很简单，并且在各种工程应用中具有更大的灵活性。然而，SPH 计算中粒子边界相互作用的建模一直被认为是需要进一步研究的一个方面。已经开发了许多技术来模拟 SPH 和相关方法中的粒子边界相互作用。在本文中，介绍了一种创新方法来处理拉格朗日 SPH 粒子与刚性固体边界之间的接触。边界接触力的公式是基于变分公式推导的，从而直接保证了控制方程的保守性。此外，新的优雅边界接触力项保持了 SPH 控制方程的简单性。
Smooth particle Hydrodynamics (SPH) is one of the most effective meshless techniques used in computational mechanics. SPH approximations are simple and allow greater flexibility in various engineering applications. However, modelling of particle-boundary interactions in SPH computations has always been considered an aspect that requires further research. A number of techniques have been developed to model particle-boundary interactions in SPH and allied methods. In this paper, an innovative approach is introduced to handle the contact between Lagrangian SPH particles and rigid solid boundaries. The formulation of boundary contact forces are derived based on a variational formulation, thus directly ensuring the conservativeness of the governing equations. In addition, the new elegant boundary contact force terms maintain the simplicity of the SPH governing equations.